Document Details Document Type : Thesis  Document Title : FINITE SOLUBLE GROUPS GENERATED BY TWO CONJUGACY CLASSES الزمر المتحللة المنتهية المتولدة بصفين ترافقيين   Subject : Mathematics  Document Language : Arabic  Abstract : In this thesis, we combine between group theory and representation theory to get some new results. If G is a finite soluble group and V is a G-module, then we try to find an upper bound for the dimension of the fixed point subspace of a subgroup of order p, where p is a prime, p > 3. Then we use these results to produce properties of the subgroups generated by the conjugates of two elements of G. Finally, if G is generated by two conjugacy classes of elements x, y in G of prime order greater than 3, then by using the Baer-Suzuki Theorem and considering other hypothesis, we prove that G can not be simple.  Supervisor : Dr. Abdullah Al-Roqi  Thesis Type : Master Thesis  Publishing Year : 1430 AH 2009 AD  Added Date : Saturday, December 4, 2010  Researchers Researcher Name (Arabic) Researcher Name (English) Researcher Type Dr Grade Email آلاء عبدالله الطاسان AL-TASSAN, Alaa ABDULLAH Researcher Master   Files File Name Type Description  28064.pdf pdf Abstract Back To Researches Page